Slopes of Secant Lines
Collect data about the slope of a secant line and then predict the value of the slope of the tangent line.https://education.ti.com/en/activity/detail/slopes-of-secant-lines
Influencing Regression
This lesson involves a least-squares regression line fit to a set of nine values.https://education.ti.com/en/activity/detail/influencing-regression
Simple Harmonic Motion
With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.https://education.ti.com/en/activity/detail/simple-harmonic-motion_1
Hypothesis Testing: Means
Students test a claim about a mean with a large sample size using the test statistic and the critical value. They also find the area under the curve to find the p value. Then, students will see how the result would change if they used a one-percent significance level or smaller sample size. An op...https://education.ti.com/en/activity/detail/hypothesis-testing-means_1
Second Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its second derivative.https://education.ti.com/en/activity/detail/second-derivative-grapher
Sign of the Derivative
Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.https://education.ti.com/en/activity/detail/sign-of-the-derivative
Margin of Error and Sample Size
This activity investigates the margin of error for a confidence interval and the relationship between sample size and the margin of error.https://education.ti.com/en/activity/detail/margin-of-error-and-sample-size
Solids Of Revolution Between Two Curves
Students will investigate 3D visualizations of volumes created by rotating two functions about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental t...https://education.ti.com/en/activity/detail/solids-of-revolution-between-two-curves
It's To Be Expected
Students use a tree diagram to find theoretical probabilities and use this information in a spreadsheet to find the expected value.https://education.ti.com/en/activity/detail/its-to-be-expected_1
Resampling
This lesson involves approximate sampling distributions obtained from simulations based directly on a single sample. The focus of the lesson is on conducting hypothesis tests in situations for which the conditions of more traditional methods are not met.https://education.ti.com/en/activity/detail/resampling
How Many?
Students will explore Bernoulli probabilities. They will use them to calculate the probabilities of various single and cumulative events. They will also explore the Bernoulli probability distribution.https://education.ti.com/en/activity/detail/how-many
Tossing Dice
This lesson involves simulating tossing two fair dice, recording the sum of the faces, and creating a dotplot of the sums.https://education.ti.com/en/activity/detail/tossing-dice
Why Divide by n-1?
Students will investigate calculating a sample variance using both n and n-1 as the divisor for samples drawn with and without replacement.https://education.ti.com/en/activity/detail/why-divide-by-n1
Two-way Tables and Association
This lesson involves analyzing the results of a survey using a two-way frequency table.https://education.ti.com/en/activity/detail/twoway-tables-and-association
Type 2 Error
This activity allows students to experiment with different alpha levels and alternative hypotheses to investigate the relationship among types of error and power.https://education.ti.com/en/activity/detail/type-2-error
Population Mean: σ unknown
Students calculate confidence intervals to estimate the true population mean when the standard deviation of the population is not known.https://education.ti.com/en/activity/detail/population-mean-σ-unknown
Multiple Boxplots
This lesson involves analyzing three parallel boxplots.https://education.ti.com/en/activity/detail/multiple-boxplots
Means With Confidence
Students estimate the true mean of a population when the standard deviation is known by finding the sample mean, margin of error and confidence interval.https://education.ti.com/en/activity/detail/means-with-confidence_1
Re-Expressing Data
The students will learn to re-express data as a linear relationship even though the raw data does not fit a linear model. Students will learn important concepts involving data transformation and re-expression.https://education.ti.com/en/activity/detail/reexpressing-data
Computing with Mathematical Formulas
Evaluate formulas for given values of a variable.https://education.ti.com/en/activity/detail/computing-with-mathematical-formulas
Catching the Rays
Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.https://education.ti.com/en/activity/detail/catching-the-rays
Cell Phone Range
Students will learn to identify the domain and range of various real-world step functions. They will graphically explore numerical data points and observe step functions. Open and closed points on a graph are investigated and discussed.https://education.ti.com/en/activity/detail/cell-phone-range_1
Building Sequences and Series with a Spreadsheet
This lesson has students create sequences and series in a spreadsheet.https://education.ti.com/en/activity/detail/building-sequences-and-series-with-a-spreadsheet
Modeling Situations Using Piecewise Functions
In this activity, the students use piecewise functions to describe and model everyday situations.https://education.ti.com/en/activity/detail/modeling-situations-using-piecewise-functions